Towards regulator formulae for curves over number fields
| dc.creator | de Jeu, Rob | |
| dc.date | 1998-11-05 | |
| dc.date.accessioned | 2026-07-07T05:27:03Z | |
| dc.date.available | 2026-07-07T05:27:03Z | |
| dc.description | In this paper we study the group K_{2n}^{(n+1)}(F) where F is the function field of a complete, smooth, geometrically irreducible curve C over a number field, assuming the Beilinson--Soulé conjecture on weights. In particular, we compute the Beilinson regulator on a subgroup of K_{2n}^{(n+1)}(F), using the complexes constructed in previous work by the author. We study the boundary map in the localization sequence for n = 3 (the case n = 2 was done in a previous paper). We combine our results with some results of Goncharov in order to obtain a complete description of the image of the regulator map on K_4^{(3)}(C) and K_6^{(4)}(C), independent of any conjectures. | |
| dc.identifier | https://arxiv.org/abs/math/9811192 | |
| dc.identifier | http://arxiv.org/abs/math/9811192 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77781 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Towards regulator formulae for curves over number fields | |
| dc.type | text |